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Consider the function f(x)=(2x−1)e^−6x. Determine the critical point(s) of f and locate all local extrema, then...

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Basic Math

Consider the function f(x)=(2x−1)e^−6x. Determine the criticalpoint(s) of f and locate all local extrema, then select all of thefollowing that are true of f.

Select all that apply:

  • f has a local maximum at x=1/3.

  • f has a local maximum at x=2/3.

  • f has a local minimum at x=1/3.

  • f has a local minimum at x=2/3.

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